Again, the way Marvel set up the ANAD legacy heroes versus their originals did not seem to leave much room for a shared mantle situation. Like the aforementioned Jane Foster, there really wasn't much room for the original Thor with how they approached her and I don't see how that dynamic would have worked without compromising Thor's character any more then they did.
I guess they could do like they do with Peter and Miles where they keep them as separate from each other as possible to the point where it doesn't matter that someone else is using the codename, moreso from Peter's standpoint then Miles since it gets mentioned so much in Miles' book that there's another Spider-Man. The closer Peter and Miles are the less the dynamic seems to work, at least without seriously altering either character.
Wish more of those people who had supported them from the beginning had shown up for their subsequent new series.